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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Quadratic Equations, Functions, and Inequalities
More on Quadratic Equations
Warm-Ups
1
To solve x
4
- 5x
2
+ 6 = 0 by substitution, we can let w = x
2
.
A)
TRUE
B)
FALSE
2
We can solve x
5
- 3x
3
- 10 = 0 by substitution if we let w = x
3
.
A)
TRUE
B)
FALSE
3
We always use the quadratic formula on equations of quadratic form.
A)
TRUE
B)
FALSE
4
If w = x
1/6
, then w
2
= x
1/3
.
A)
TRUE
B)
FALSE
5
To solve x - 7(x)
1/2
+ 10 = 0 by substitution, we let w
1/2
= x.
A)
TRUE
B)
FALSE
6
If y = 2
1/2
, then y
2
= 2
1/4
.
A)
TRUE
B)
FALSE
7
If John paints a 100-foot fence in x hours, then his rate is 100/x of the fence per hour.
A)
TRUE
B)
FALSE
8
If Elvia drives 300 miles in x hours, then her rate is 300/x miles per hour (mph).
A)
TRUE
B)
FALSE
9
If Ann’s boat goes 10 mph in still water, then against a 5-mph current, it will go 2 mph.
A)
TRUE
B)
FALSE
10
If squares with sides of length x inches are cut from the corners of an 11-inch by 14-inch rectangular piece of sheet metal and the sides are folded up to form a box, then the dimensions of the bottom will be 11 - x by 14 - x.
A)
TRUE
B)
FALSE
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